4725639109800 has 288 divisors, whose sum is σ = 18228605616000. Its totient is φ = 1074717642240.

The previous prime is 4725639109781. The next prime is 4725639109813. The reversal of 4725639109800 is 89019365274.

4725639109800 is a `hidden beast` number, since 4 + 72 + 563 + 9 + 1 + 0 + 9 + 8 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1565062 + ... + 3449738.

It is an arithmetic number, because the mean of its divisors is an integer number (63293769500).

It is a 1-persistent number, because it is pandigital, but 2⋅4725639109800 = 9451278219600 is not.

Almost surely, 2^{4725639109800} is an apocalyptic number.

4725639109800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4725639109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114302808000).

4725639109800 is an abundant number, since it is smaller than the sum of its proper divisors (13502966506200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4725639109800 is a wasteful number, since it uses less digits than its factorization.

4725639109800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884905 (or 1884893 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 4725639109800 in words is "four trillion, seven hundred twenty-five billion, six hundred thirty-nine million, one hundred nine thousand, eight hundred".